964851904868544 has 2688 divisors, whose sum is σ = 3909440273356800. Its totient is φ = 227478011904000.

The previous prime is 964851904868539. The next prime is 964851904868573. The reversal of 964851904868544 is 445868409158469.

964851904868544 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 5 + 1 + 9 + 0 + 4 + 8 + 68 + 544 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 77804356744 + ... + 77804369144.

It is an arithmetic number, because the mean of its divisors is an integer number (1454404863600).

Almost surely, 2^{964851904868544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964851904868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954720136678400).

964851904868544 is an abundant number, since it is smaller than the sum of its proper divisors (2944588368488256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

964851904868544 is a wasteful number, since it uses less digits than its factorization.

964851904868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 9555148800, while the sum is 81.

The spelling of 964851904868544 in words is "nine hundred sixty-four trillion, eight hundred fifty-one billion, nine hundred four million, eight hundred sixty-eight thousand, five hundred forty-four".